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Simplifying -1y + -1(6 + -1y) = 8(y + 4) -1y + (6 * -1 + -1y * -1) = 8(y + 4) -1y + (-6 + 1y) = 8(y + 4) Reorder the terms: -6 + -1y + 1y = 8(y + 4) Combine like terms: -1y + 1y = 0 -6 + 0 = 8(y + 4) -6 = 8(y + 4) Reorder the terms: -6 = 8(4 + y) -6 = (4 * 8 + y * 8) -6 = (32 + 8y) Solving -6 = 32 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -6 + -8y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 -6 + -8y = 32 + 0 -6 + -8y = 32 Add '6' to each side of the equation. -6 + 6 + -8y = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -8y = 32 + 6 -8y = 32 + 6 Combine like terms: 32 + 6 = 38 -8y = 38 Divide each side by '-8'. y = -4.75 Simplifying y = -4.75
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